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Finding the Fourth Proportional to 3,212.97, 4,822.18 and 1,266.54

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Solution

The fourth proportional to 3,212.97, 4,822.18 and 1,266.54 is: 1,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.97 : 4,822.18 = 1,266.54 : x
  2. Step 2: Convert to fraction form
    3,212.97/4,822.18 = 1,266.54/x
  3. Step 3: Cross multiply
    3,212.97x = 4,822.18 × 1,266.54
  4. Step 4: Simplify right side
    3,212.97x = 6,107,469.73
  5. Step 5: Solve for x
    x = 6,107,469.73/3,212.97
  6. Step 6: Final answer
    x = 1,900.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.